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General solution of the Cauchy problem for the defocusing NLS equation in the Whitham limit

✍ Scribed by Gennady A. El; Alexander L. Krylov


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
428 KB
Volume
203
Category
Article
ISSN
0375-9601

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We study the Whitham equations, which describe the semiclassical limit of the defocusing nonlinear SchrΓΆdinger equation. The limit is governed by a pair of hyperbolic equations of two independent variables for a short time starting from the initial time. After this hyperbolic solution breaks down, t